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Proof step 8 from proof test-sqrt-01 (previous step)

even(mkDecimal(144, 2).scale) ⊦ mkDecimal(sqrt(mkDecimal(144, 2).int * 10 ^ (2 * abs(0))), mkDecimal(144, 2).scale / 2 + abs(0)) = mkDecimal(12, 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
even(mkDecimal(144, 2).scale) ⊦ mkDecimal(sqrt(mkDecimal(144, 2).int), mkDecimal(144, 2).scale / 2) = mkDecimal(12, 1)

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-zero: ⊦ i + 0 = i; from specification int-basic2%one: ⊦ 1 * i = i; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult